GATE Practice Question and Answer

Q: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B ? 1987 0

  • 1
    10 yrs
    Correct
    Wrong
  • 2
    11 yrs
    Correct
    Wrong
  • 3
    12 yrs
    Correct
    Wrong
  • 4
    13 yrs
    Correct
    Wrong
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Answer : 1. "10 yrs"
Explanation :

Answer: A) 10 yrs Explanation: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 27 5x = 25 => x = 5 Hence, B's age = 2x = 10 years.

Q: A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital? 1987 0

  • 1
    Rs. 4987
    Correct
    Wrong
  • 2
    Rs. 5148
    Correct
    Wrong
  • 3
    Rs. 5917
    Correct
    Wrong
  • 4
    Rs. 6254
    Correct
    Wrong
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Answer : 3. "Rs. 5917"
Explanation :

Answer: C) Rs. 5917 Explanation: Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130100 x 130100 = 10000=> P = 1000000169 = 5917 Therefore, the capital amount P = Rs. 5917

Q: At an examination in which maximum marks are 500. K got 10% less than L, L got 25% more than M and M got 20% less than N. If K got 360 marks what percentage of marks was obtained by N ? 1986 0

  • 1
    80
    Correct
    Wrong
  • 2
    87
    Correct
    Wrong
  • 3
    78
    Correct
    Wrong
  • 4
    76
    Correct
    Wrong
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Answer : 1. "80"
Explanation :

Answer: A) 80 Explanation: Let marks obtained by N = x M's marks = 0.80x L's marks = 1.25 (0.80x) K's marks = (0.90) (1.25) (0.80x) = 0.9x But 0.9x = 360 ⇒ x = 400 Percentage of Marks obtained by N = 400 x 100/500 = 80%

Q: Is air homogeneous or heterogeneous? 1986 0

  • 1
    homogeneous
    Correct
    Wrong
  • 2
    heterogeneous
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "homogeneous"
Explanation :

Answer: A) homogeneous Explanation: A Mixture is a material made up of two or more different substances which are mixed.   Mixtures can be either homogeneous or heterogeneous.   * A homogeneous mixture is a type of mixture in which the composition is uniform and every part of the solution has the same properties. * A heterogeneous mixture is a type of mixture in which the components can be seen, as there are two or more phases present.   Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances.

Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1985 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Neither a nor b is sufficient
    Correct
    Wrong
  • 3
    Only b is sufficient
    Correct
    Wrong
  • 4
    Both a and b sufficient
    Correct
    Wrong
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Answer : 4. "Both a and b sufficient"
Explanation :

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

Q: Which was the first Hydel power projects in India? 1985 0

  • 1
    Paikara in Tamilnadu
    Correct
    Wrong
  • 2
    Nizamsagar in Telangana
    Correct
    Wrong
  • 3
    Siva Samudram in Karnataka
    Correct
    Wrong
  • 4
    Palli vasal in Kerela
    Correct
    Wrong
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Answer : 3. "Siva Samudram in Karnataka"
Explanation :

Answer: C) Siva Samudram in Karnataka Explanation: Siva Samudram in Karnatka. The potential for hydroelectric power in India is one of the greatest in the world.   The first hydro-electric power station in India was established in Karnataka at "shivana samudra".

Q: A ball is thrown vertically upward from the ground. It crosses a point at the height of 25 m twice at an interval of 4 seconds. The ball was thrown with the velocity of 1985 0

  • 1
    18 m/s
    Correct
    Wrong
  • 2
    25 m/s
    Correct
    Wrong
  • 3
    30 m/s
    Correct
    Wrong
  • 4
    36 m/s
    Correct
    Wrong
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Answer : 3. "30 m/s"
Explanation :

Answer: C) 30 m/s Explanation: The interval between object pass the same point is 4 sec. That means in 2 sec, object reaches the top and in next 2 sec, it again reaches the same point. By the info given, we can find the velocity of that point by using : v=u+(-gt) 0= u - 10×2 u = 20 Then the velocity at 25m is 20m/sec. so the initial velocity is -v2 = u2 + (-2gh)400 = u2 - 2x 10 x 25u2 = 900 => u = 30 m/s

Q: The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ? 1985 0

  • 1
    59
    Correct
    Wrong
  • 2
    43
    Correct
    Wrong
  • 3
    57
    Correct
    Wrong
  • 4
    47
    Correct
    Wrong
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Answer : 4. "47"
Explanation :

Answer: D) 47 Explanation: Let their ages be x, y, zHence given that x + y + z = 65Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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